Math, asked by tajay7107p6jdj6, 1 year ago

divide 32 into four parts which are in A.P.such that the ratio of product of extremes to the product of means is 7:15.?

solve every step please


shyamkrishnakeshari: Let the four parts be (a - 3d), (a -d), (a + d) and (a + 3d)
Given  (a - 2d) + (a -d) + (a + d) +(a + d) = 32
4a = 32
Hence, a = 8
Given (a - 3d)(a + 3d)/(a - d)(a + d) = 7/15
15(a2 - 9d2) = 7(a2 - d2)
128d2 = 8a2
 = 8 x 64
d2 = 4
Therefore, d = ± 2

Answers

Answered by Anonymous
0
answer is 8..................
take a. p. as a-b, a, a+b,a+2b and solve
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